Endpoint Strichartz estimates for the Schrödinger equation on an exterior domain

Abstract

The purpose in this paper is to prove end point Strichartz estimates for the Schrödinger equation in the exterior domain of a generic non-trapping obstacle in the case $n\ge 3.$ In the case $n=2$ we have the same range of Strichartz estimates as in the free case. In this version we corrected some misprints from the previous one.

We found an essential gap in the proof of the main result

References in corpus (1)

• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations